Characterizations of Conductors in Quartic Number Fields with Ramified Prime

Publisher： Trans Tech Publications

E-ISSN： 1662-7482|2017|866|402-405

ISSN： 1660-9336

Source： Applied Mechanics and Materials, Vol.2017, Iss.866, 2017-07, pp. : 402-405

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Abstract

Let OK be the ring of Integers of a Field K. By an order O in K we mean a subring of OK containing a Q-basis for the field K. The largest ideal of OK contained in O is called the conductor of O. In this paper we investigate conductor ideals whose norm is a power of some ramified prime in quartic number fields.

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